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Finding the Fourth Proportional to 257,339.56, 385,990.80 and 79,842

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Solution

The fourth proportional to 257,339.56, 385,990.80 and 79,842 is: 119,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,339.56 : 385,990.80 = 79,842 : x
  2. Step 2: Convert to fraction form
    257,339.56/385,990.80 = 79,842/x
  3. Step 3: Cross multiply
    257,339.56x = 385,990.80 × 79,842
  4. Step 4: Simplify right side
    257,339.56x = 30,818,277,453.60
  5. Step 5: Solve for x
    x = 30,818,277,453.60/257,339.56
  6. Step 6: Final answer
    x = 119,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.